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Cylinder / Sphere / Cone Solver

3D-primitive solver: pick the shape (cylinder / sphere / cone), pick the unknown (volume / surface area / radius / height), fill the rest. Reports lateral area + slant height where applicable.

Shape

Solve for

Volume (m³)

Surface area (m²)

Radius (m)

Height (m, cylinder/cone only)

Limitations: SA values are for CLOSED shapes (cylinders include both end caps; cones include the base disc). For open shapes, subtract πr² for each missing cap. Sphere has no height input.

What to do next: Cylinder ↔ cone relationship: a cone with the same r and h as a cylinder has exactly ⅓ of its volume. Useful for "how many cones to fill a cylinder?" questions.